Problem 56328. Molar Air Density from Temperature and Pressure

Created by Meg Noah

Solve Later

{"parts":[{"partUri":"/matlab/document.xml","contentType":"application/vnd.mathworks.matlab.code.document+xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\"?><w:document xmlns:w=\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\"><w:body><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>The molar density of air can be found from the Temperature and Pressure using the ideal gas law.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"true\"/></w:customXmlPr><w:r><w:t>n_{air}=\\frac{P}{RT}=\\frac{N_0}{N_A}\\frac{P}{P_0}\\frac{T_0}{T}=n_0\\frac{P}{P_0}\\frac{T_0}{T}</w:t></w:r></w:customXml></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>where the Molar density STP :</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"true\"/></w:customXmlPr><w:r><w:t>n_0 = \\frac{N_0}{N_A} = 4.4615049\\times10^{-05} (\\text{mole/cm}^3)</w:t></w:r></w:customXml></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>from Avagadro's number:</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"true\"/></w:customXmlPr><w:r><w:t>N_A = 6.022140857\\times10^{23} (\\text{molecules/mole (NIST)})</w:t></w:r></w:customXml></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>and Loschmidt’s number STP:</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"true\"/></w:customXmlPr><w:r><w:t>N_0 = 2.6867811\\times10^{19} (\\text{molecules/cm}^{3}\\text{ at STP (NIST)}) </w:t></w:r></w:customXml></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>And STP Temperature and Pressure:</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"true\"/></w:customXmlPr><w:r><w:t>T_0 = 273.15 \\text{K}</w:t></w:r></w:customXml></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"true\"/></w:customXmlPr><w:r><w:t>P_0 = 1013.25 \\text{ mb}</w:t></w:r></w:customXml></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>Write a function that finds the density of air in moles per cubic centimeter for input temperature (in Kelvin) and pressure (in mb).  This function should allow: a single input temperature and pressure pair, a single temperature and vector of pressures, a single pressure and and a vector of temperatures, a vector of pressures and a vector of temperatures of the same size (interpreted as pairs).  Return -1 if a P and T are unequal vector dimensions greater than 1.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t></w:t></w:r></w:p></w:body></w:document>","relationship":null}],"relationships":[{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/document","target":"/matlab/document.xml","relationshipId":"rId1"}]}

<div style = "text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; "><div style="block-size: 489px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 244.5px; transform-origin: 407px 244.5px; vertical-align: baseline; "><div style="block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; "><span style="">The molar density of air can be found from the Temperature and Pressure using the ideal gas law.</span></span></div><div style="block-size: 41px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 20.5px; text-align: left; transform-origin: 384px 20.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="vertical-align:-17px"><img 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" width="193" height="41" style="width: 193px; height: 41px;"></span></div><div style="block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; "><span style="">where the Molar density STP :</span></span></div><div style="block-size: 40px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 20px; text-align: left; transform-origin: 384px 20px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="vertical-align:-17px"><img src="data:image/png;base64,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" width="251" height="40" style="width: 251px; height: 40px;"></span></div><div style="block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; "><span style="">from Avagadro's number:</span></span></div><div style="block-size: 22.5px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 11.25px; text-align: left; transform-origin: 384px 11.25px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="vertical-align:-6px"><img 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" width="312" height="21" style="width: 312px; height: 21px;"></span></div><div style="block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; "><span style="">and Loschmidt’s number STP:</span></span></div><div style="block-size: 22.5px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 11.25px; text-align: left; transform-origin: 384px 11.25px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="vertical-align:-6px"><img src="data:image/png;base64,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" width="328.5" height="21" style="width: 328.5px; height: 21px;"></span></div><div style="block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; "><span style="">And STP Temperature and Pressure:</span></span></div><div style="block-size: 22.5px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 11.25px; text-align: left; transform-origin: 384px 11.25px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="vertical-align:-6px"><img 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src="data:image/png;base64,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" width="103.5" height="20" style="width: 103.5px; height: 20px;"></span></div><div style="block-size: 84px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 42px; text-align: left; transform-origin: 384px 42px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; "><span style="">Write a function that finds the density of air in moles per cubic centimeter for input temperature (in Kelvin) and pressure (in mb).  This function should allow: a single input temperature and pressure pair, a single temperature and vector of pressures, a single pressure and and a vector of temperatures, a vector of pressures and a vector of temperatures of the same size (interpreted as pairs).  Return -1 if a P and T are unequal vector dimensions greater than 1.</span></span></div><div style="block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; "><span style=""></span></span></div></div></div>

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Problem 56328. Molar Air Density from Temperature and Pressure

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